Composite pulses in NMR as non-adiabatic geometric quantum gates

Abstract

We show that some composite pulses widely employed in NMR experiments are regarded as non-adiabatic geometric quantum gates with Aharanov-Anandan phases. Thus, we reveal the presence of a fundamental issue on quantum mechanics behind the traditional technique of the composite pulses. To examine the robustness of such composite pulses against fluctuations, we present a practical noise model in a two-level system. Then, we find that the composite pulses possesses purely geometrical nature even under a specific type of fluctuations.

References in corpus (2)

• Tackling Systematic Errors in Quantum Logic Gates with Composite Rotations
• Randomized benchmarking of single and multi-qubit control in liquid-state NMR quantum information processing

Cited by in corpus (1)

• Geometric quantum gates in liquid-state NMR based on a cancellation of dynamical phases